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Finding the Fourth Proportional to 11,531.63, 17,282.82 and 6,331.43

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Solution

The fourth proportional to 11,531.63, 17,282.82 and 6,331.43 is: 9,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.63 : 17,282.82 = 6,331.43 : x
  2. Step 2: Convert to fraction form
    11,531.63/17,282.82 = 6,331.43/x
  3. Step 3: Cross multiply
    11,531.63x = 17,282.82 × 6,331.43
  4. Step 4: Simplify right side
    11,531.63x = 109,424,965.03
  5. Step 5: Solve for x
    x = 109,424,965.03/11,531.63
  6. Step 6: Final answer
    x = 9,489.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.